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research article
Condensation of fermion pairs in a domain
We consider a gas of fermions at zero temperature and low density, interacting via a microscopic two-body potential which admits a bound state. The particles are confined to a domain with Dirichlet boundary conditions. Starting from the microscopic BCS theory, we derive an effective macroscopic Gross–Pitaevskii (GP) theory describing the condensate of fermion pairs. The GP theory also has Dirichlet boundary conditions. Along the way, we prove that the GP energy, defined with Dirichlet boundary conditions on a bounded Lipschitz domain, is continuous under interior and exterior approximations of that domain.
Type
research article
Authors
Publication date
2017-04-01
Volume
56
Issue
2
Start page
54
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 1, 2020
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